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Correction to: The stable geometric dimension of vector bundles over real projective spaces. (English) Zbl 0532.55018
Summary: The theory of bo-resolutions as utilized by the authors previously [ibid. 268, 39-61 (1981; Zbl 0483.55014)] did not give adequate care to the \(K{\mathbb{Z}}_ 2's\) occurring at each stage of the resolution. This restricts somewhat the set of integers e for which we can prove that the geometric dimension of vector bundles of order \(2^ e\) on large real projective spaces is precisely \(2e+\delta\).

MSC:
55R25 Sphere bundles and vector bundles in algebraic topology
55R50 Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory
55P42 Stable homotopy theory, spectra
55T15 Adams spectral sequences
55N22 Bordism and cobordism theories and formal group laws in algebraic topology
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